At a basketball game, a vendor sold a combined total of 197 sodas and hot dogs. The number of hot dogs sold was 41 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold .
Given : -Total of sodas and hot dog sold = 197No. of hot dogs sold = 41 less than the no. of sodas soldTo Find : -No. of soda soldNo. of hot dog soldConcept : -We have to solve this question by making equation and after creating equations we have to solve them properly to get the final answer .
To Assume : -Let the no. of soda sold be x .Let the no. of hot dogs sold be x - 41 ( Because they are 41 less than sodas )So Starting Solution : -According to question we know that combined total of sodas and hot dogs is :
x + ( x - 41 ) = 197x + x - 41 = 1972x - 41 = 1972x = 197 + 412x = 238x = 238/2x = 119Therefore , No. of sodas sold is 119 .
Now , Hot dogs :
x - 41 119 - 41 78Therefore , No. of hot dogs sold is 78 .
Verifying :We know that their combined sum is equal to 197 . So ,
Sodas + Hot Dogs = 197119 + 78 = 197197 = 197L.H.S = R.H.STherefore , our answer is valid .
#[tex] \sf{Keep \: Learning}[/tex]A triangle has two angles with measures of 90 and 20 degrees joined by a side with a length of 12 centimeters.
Which figure represents this triangle?
Answer: C
Step-by-step explanation:
We know that A and D will not be the correct answers. For A, it's only one 90 angles, but the questions said that has two angles. For D, it's two angles : 90 and 12, but in the question, 12 is the length, not the angle.
The correct answer is C.
014pts)
con
(3x+10)
(2x +20)
CA
B
What does x equal?
What does < ABC equal?
What does
(2pts)
(18+)
(18+)
Show ur work 30 points
Answer:
What does x equal ? 30
What does < ABC equal? 100
What does < DBC equal? 80
Step-by-step explanation:
[tex](3x + 10) + (2x + 20) = 180 \\ 5x + 30 = 180 \\ 5x = 180 - 30 \\ 5x = 150 \\ x = \frac{150}{5} \\ \\ x = 30[/tex]
[tex]3x + 10 = 3(30) + 10 = 90 + 10 = 100[/tex]
[tex]2x + 20 = 2(30) + 20 = 60 + 20 = 80[/tex]
7.3 reteaching with practice 415-420
Someone Plss Help!!!! The dot plots compare the number of raffle tickets sold by students for a school fundraiser.
Answer:
That's just the way of the world
Somewhere in the world, they think they're working for themselves
They get up everyday to go to work for someone else
And somebody works for them and, so, they think they got it made
But they're all just working to get paid the very same
And so, they keep on twiddlin' them thumbs.
The smiths were just approved for a 25 year mortgage at an 11% fixed rate. if they had not filed bankruptcy in the past, they could have gotten a rate of 7%. if their loan amount is $128,000, how much more per month will the smiths be paying for their mortgage as a result of their bankruptcy? a. $349.86 b. $125,840.78 c. $904.68 d. $235.09 please select the best answer from the choices provided a b c d
The increase in monthly amortization has result of higher interest rate is $349.86.
We have given ,the smiths were just approved for a 25 year mortgage at an 11% fixed rate. if they had not filed bankruptcy in the past, they could have gotten a rate of 7%.
We have to calculate the mortage value when loan amount is,$128,000,
What is the amortization formula?[tex]A = P \times ((r(1+r)^n)/((1+r)^n-1))[/tex]
A = is the amortization
P = is the principal
r = is the rate
n = is the period
We have to compute for the amortization using the 11% interest rate.
[tex]A = $128000 \times ((0.11(1.11)^{25})/((1.11)^{25}-1))[/tex]
[tex]A = \$1,254.54[/tex]
When we solve manually, the answer should be divided by 12 because it was on a monthly basis.
Next we have to compute for the amortization using the 7% interest rate.
[tex]A = $128000 \times ((0.07(1.07)^25)/((1.07)^25-1))[/tex]
[tex]A = $904.68[/tex]
When solve manually, the answer should be divided by 12 because it was on a monthly basis.
Therefore, the increase in monthly amortization has result of higher interest rate is $349.86.
To learn more about the amortization visit:
https://brainly.com/question/10561878
PLEASE HELP!! I’LL GIVE BRAINLIEST!!
For problems 16-18, classify each triangle by its angles and sides. Mark the congruent sides with tick marks and the congruent angles with arc marks.
16 Angle classification : right angle
Side classificat : isoceles
17. Angle classification : acute angle
Side classification : equilateral
18 angle classification : obtuse angle
Side classification : scalene
16)
Angle classification: right angle
Side classification : isosceles
17)
Angle classification: acute angle
Side classification: equilateral
18)
Angle classification: obtuse angle
Side classification: scalene
What is a triangle?
A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
16)
One angle = 90 degrees
So,
The other two angles' sum must be 90 degrees.
So,
Angle classification: right angle
Side classification : isosceles
17)
We see that all sides are equal.
So,
All angles must be equal and the sum is 180.
So,
Angle classification: acute angle
Side classification: equilateral
18)
One angle is greater than 90.
So,
Angle classification: obtuse angle
Side classification: scalene
Thus,
16)
Angle classification: right angle
Side classification : isosceles
17)
Angle classification: acute angle
Side classification: equilateral
18)
Angle classification: obtuse angle
Side classification: scalene
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
The answer is C, but I don't understand why- can anyone tell me?
Answer:
It's C because we are adding a number on the x but here we skip 5 so it's 6, and on y we add 4 up but since we skipped 5 we add 8 and we get 24. 6, 24. You may say "but SpiritBear, 17 plus eight is 25" and that is true, but if you notice the lowest dot actually starts on 5, not 4 making C right.
Hope this helped and wasn't too confusing
Please help I will give brainliest.
Answer:
the answer is (x-1)^2=4
There are 126 students in theater at a school. On a certain day, 94 of the students in choir went on a field trip. What percent of student stayed at school instead of going on the field trip? Round to the nearest whole percent.
Answer:
Step-by-step explanation:
First find the number of students who stayed home.
# students who stayed home = Total number - the choir members.
Total number = 126
Choir members = 94
Stay at homes = 126 - 94 = 32
Formula
Stay at home % = (32 / 126) * 100
Stay at home %= 0.25397 * 100
Stay at home % = 25.397
To the nearest whole %, the answer is 25
Answer:
126/94 = 1.34
1% of the students stayed at school
Step-by-step explanation:
Jacob has $4,800 to invest in a saving account. He receives a steady interest rate of 3. 35% compunded quarterly. He would like to save or the next 5 years and then take his money out. What would be his balace at the end of the 5 years?
$9,354. 20
$7,211. 74
$5,671. 30
$5,604. 0
Answer:
5671.30
Step-by-step explanation:
periods = 5 years quarterly = 20 periods
interest per period .0335/4 (4 periods per year)
initially 4800
FV = future Value = 4800 ( 1 + .0335/4)^20 = 5671.30
Someone please
help me I can’t solve this for the life of me!!!!
Answer:
I would think that It is the first one but if it is not trust the other people
Step-by-step explanation:
Consider the line y=9x-1.
Find the equation of the line that is perpendicular to this line and passes through the polnt (6, -5).
Find the equation of the line that is parallel to this line and passes through the point (6,-5).
Step-by-step explanation:
Slope=9
i)
[tex]y−y1=m(x−x1)[/tex]
When line is parallel
y+5=9(x-6)
y+5 = 9x - 54
59 = 9x-yWhen line is perpendicular
y+5=-1/9(x-6)
9(y+5)= -1(x-6)
9y + 45 = -x+6
x+9y = -39MARK ME AS BRAINLISTPlease help I will give brainliest.
Answer:
The weight, in pounds, of one bag of beans.
Step-by-step explanation:
Since we know that there are 15 bags of beans, we can eliminate the first option and anything about something other than th e beans. Also, we know that we are not given the information on how heavy the bag of beans are, so with process of elimination, the 3rd one is the answer.
I hope this helped!
It would be greatly appreciated if you marked this answer as brainliest!
Sassan finds that 2 pints 1 cup of water has evaporated from the class aquarium. How many pints of water are left in the aquarium
The pints of water left in the aquarium is 2.5 pints
Converting cups to pintUsing the conversion rule sho below:
1 cup = 0.5 pint
If Sassan finds that 2 pints 1 cup of water have evaporated from the class aquarium, the total pint that evaporated is expressed as:
Total pint = 2 pints + 0.5 pint
Total pint = 2.5 pints
Hence the pints of water left in the aquarium is 2.5 pints
Learn more on pints and cups here: https://brainly.com/question/26941359
Look at attachment below please help
100 POINTS AND BRAINLYIEST
Answer:
x = 28 unitsy = 14 unitsStep-by-step explanation:
Given is 30 x 60 x 90 right triangle
The side ratios of this triangle is
y : 14√3 : x = 1 : √3 : 2Find the value of x and y using this ratio
y = 14√3/√3 = 14x = 2y = 2*14 = 28Let's find
sin60=14√3/x√3/2=14√3/xx=14×2x=28unitsAnd
tan60=14√3/y√3=14√3/yy=14unitsCan anyone help me on this
Answer:
48 ft = r
Step-by-step explanation:
Pythag theorem
r^2 + 55^2 = (25+r)^2
= 625 + 50r + r^2
r = 48
WRITE INEQUALITY AND SOLVE Sarah has $325. She spends $10 a week on gas.
If she wants to have at least $150 left, how many
weeks can she buy gas?
17 weeks and she'll have $5 extra.
The graph of the function is of the form
f(x) = a * sin(kc – c) + h.
Mrs. Galicia is creating a bunny farm. The farm starts with 820 bunnies and is growing at a rate of 20.75% per month. How many months will it take for the farm to triple in size? *Must solve using log/In method*
By using the exponential growth equation, we will see that the population triples after 5.83 months.
How many months will take for the farm to triple in size?We know that the initial population of bunnies is 820, and it grows at a rate of 20.75% per month, then we can write the exponential growth as:
P(t) = 820*(1 + 20.75%/100%)^t
P(t) = 820*(1 + 0.2075)^t
Where t is the time in months.
Then we need to find the value of t such that the population triples, so we actually need to solve:
(1 + 0.2075)^t = 3
If we apply the natural logarithm to both sides, we get:
ln((1 + 0.2075)^t) = ln(3)
t*ln(1.2075) = ln(3)
t = ln(3)/ln(1.2075) = 5.83 months.
So, after 5.84 months, the population of bunnies will triple.
If you want to learn more about exponential functions, you can read:
https://brainly.com/question/11464095
ASAP PLEASE HELP!!! 100PTS BRAINLIEST!!!
(03.03 MC)
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −9
0 −1
1 7
g(x)
g(x) = 3x − 2
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)
Answer:
Part A: The slope f(x) is greater than slope g(x).
Part B: f(x) has a greater y-intercept.
Step-by-step explanation:
Part A:
The slope of the line is (y2 - y1)/(x2 - x1), so now we have to find the slope f(x).
-1 - (-9) / 0 - (-1) = 8/1 = 8
That would be the slope, and for g(x) it would be 3x-2 = 3.
Which means the slope f(x) is greater than slope g(x).
Part B:
First the y-intercept has to be put on 0.
So, the when function f(x) passes through point (0, -1), then y-intercept is -1.
Now we compare g(x) = 3x-2 with the slope-intercept form and b = -2 is the result. form and b = -2 is the result.
Which means the slope of g(x) is -2. Therefore, f(x) has a greater y-intercept than g(x).
Answer:
A) Slope of f(x) is 8. Slope of g(x) is 3
B) f(x) has the greater y-intercept
Step-by-step explanation:
Part A
To find the slope of function f(x), use the slope formula:
[tex]\sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{7-(-1)}{1-0}=8[/tex]
Therefore, the slope of f(x) is 8.
Linear function
[tex]y=mx+b[/tex]
where:
m is the slopeb is the y-interceptGiven:
[tex]g(x)=3x-2[/tex]Therefore, the slope of g(x) is 3.
Part B
The y-intercept is when x = 0. Therefore, from inspection of the table, the y-intercept of f(x) is -1.
The y-intercept of function g(x) is -2.
Therefore, as -1 > -2, function f(x) has the greater y-intercept.
Evaluate the expression when a=5 and b=28.b+(30)/(a)
Answer:
34
Step-by-step explanation:
Just substitute in the valuesThis would give 28 + 30/5 = 28 + 6 = 342. a survey of 200 college graduates who have been working for at least three years found that 75 owned only mutual funds, 35 only stocks, and 90 owned both. a. what is the probability that an individual owns a stock
Using it's concept, it is found that there is a 0.625 = 62.5% probability that an individual owns a stock.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, out of 200 graduates, 35 + 90 = 125 of them own stocks, hence:
p = 125/200 = 0.625.
There is a 0.625 = 62.5% probability that an individual owns a stock.
More can be learned about probabilities at https://brainly.com/question/14398287
16+(5 to the 2nd power -7)divided by 3
answer:
11.3(repeating) or [tex]\frac{34}{3}[/tex]
explanation:
attached
--
if this helped, please consider giving brainliest !
The length of a rectangle is twice its width, The perimeter of the rectangle is 36ft. what are the length and width of the rectangle?
Answer:
length is 12 feet and the width is 6 feet
Step-by-step explanation:
w=width l=length
l=2w
2l+2w=36ft
4w+2w=36ft
6w=36ft
w=6ft
l=2*6=12ft
The sum of a number and its square is 42. Which equation can be used to find the two numbers for which this is
true?
O x2 + x = 42
O x2 + 2x = 42
O x2 + x + 42 = 0
O x2 + 2x + 42 = 0
ark this and return
Answer:
x² + x = 42
Step-by-step explanation:
let x = a number
then x² is the square of the number
x² + x is the sum of the square of the number and the number.
x² + x = 42
Factor completely 9y+27
Answer: 9(y + 3)
Step-by-step explanation: 9y/9 = y | 27/9 = 3
-3y (y⁴ + 2y³ - 5y²- y + 4)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's expand the given expression ~
[tex]\qquad \sf \dashrightarrow \: - 3y( {y}^{4} + 2 {y}^{3} - 5 {y}^{2} - y + 4)[/tex]
[tex]\qquad \sf \dashrightarrow \: ( - 3y \cdot {y}^{4} ) + ( - 3y \cdot2 {y}^{3} ) + ( - 3y \cdot - 5 {y}^{2} ) + ( - 3y \cdot - y) + ( - 3y \cdot4)[/tex]
[tex]\qquad \sf \dashrightarrow \: - 3{y}^{5} - 6{y}^{4} + 1 5 {y}^{3} + 3{y}^{2} - 12y[/tex]
AABC = AADF, AB = 16,
mZB = 59° m2D = [ ? ]°.
=
Answer:
A+B=C
Step-by-step explanation:
[tex]a + b {15}^{2} [/tex]
Answer:
It's 59
Step-by-step explanation:
There congruent so they would equal the same amount.
Please help. this is beyond confusing. it’s stressing me out.
Answer:
D = 1120
Step-by-step explanation:
Given:
W = 70T = 4Substitute the values into the equation:
⇒ D = WT²
[tex]\text{D = WT}^{2} \ \text{can also be written as D = (W)(T)(T)}[/tex]
⇒ D = (W)(T)(T)
⇒ D = (70)(4)(4)
Simplify the RHS:
⇒ D = 280(4)
⇒ D = 1120
How many solutions are there to this nonlinear system
Answer:
well its two
Step-by-step explanation:
but A nonlinear system could be representative of two circles that overlap and intersect in two locations, hence two solutions. A nonlinear system could be representative of a parabola and a circle, where the vertex of the parabola meets the circle and the branches also intersect the circle, hence three solutions.